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Finding the Third Proportional to 445,772,302,518 and 681,623,139,573

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Solution

The third proportional to 445,772,302,518 and 681,623,139,573 is: 1,042,258,798,442.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,772,302,518 : 681,623,139,573 = 681,623,139,573 : x
  2. Step 2: Convert to fraction form
    445,772,302,518/681,623,139,573 = 681,623,139,573/x
  3. Step 3: Cross multiply
    445,772,302,518x = 681,623,139,573 × 681,623,139,573
  4. Step 4: Simplify right side
    445,772,302,518x = 464,610,104,401,353,437,609,984
  5. Step 5: Solve for x
    x = 464,610,104,401,353,437,609,984/445,772,302,518
  6. Step 6: Final answer
    x = 1,042,258,798,442.49

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.